Download docx - Algebra 1 Unit 0 - Home - Lakewood City School District · Web view#8 Adding and Subtracting Fractions 18 #9 Multiplying and Dividing Fractions 22 #10 Fractions, Decimals and Percents

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Algebra 1 Unit 0

Pre-Algebra Skills

2009-2010

Mr. Culler

2 Algebra 1 Unit 0

Table of Contents

Lesson Page#1 Odd and Even Numbers 3

#2 Prime and Composite Numbers 5

#3 GCF and LCM 7

#4 Rules for Divisibility 9

#5 Using Estimation 11

#6 Simplifying Fractions 14

#7 Fractions and Decimals 16

#8 Adding and Subtracting Fractions 18

#9 Multiplying and Dividing Fractions 22

#10 Fractions, Decimals and Percents 25

#11 Exponents 27

#12 Problem Solving Skills 29

3 Algebra 1 Unit 0

Unit 0 Lesson 1 Odd and Even NumbersPre-Assessment Questions:Lesson #1: Odd and Even Numbers

1. Which number is odd?A) 54 B) 100 C) 36 D) 37

2. Which number is even?A) 9 B) 13 C) 40 D) 19

3. Which number is even?A) 105 B) 1200 C) 765 D) 903

4. What is the remainder of an even number when the number is divided by 2?A) 0 B) 1 C) 2 D) 3

5. What is the remainder of an odd number when the number is divided by 2?A) 0 B) 1 C) 2 D) 3

Question # Level Answer Correct

Yes or No

Remediation

1 1 D #1-17

2 1 C #1-17

3 1 B #1-17

4 2 A Extension and Reflection

5 2 B Extension and Reflection

Lesson #1: Odd and Even Numbers Vocabulary

4 Algebra 1 Unit 0

Level 1 Determine if a number is odd or even.

Level 2 Find the remainder of odd or even numbers when dividing by 2.

5 Algebra 1 Unit 0

Unit 0 Lesson 2 Prime and Composite NumbersPre-Assessment Questions:Lesson #2: Prime and Composite Numbers

6. Identify the prime factorization of 430.A) 2 · 5 · 43 B) 2 · 215 C) 10 · 43 D) 43

7. Identify 21, 46, and 57 as prime or composite.A) All are prime.B) 21 and 57 are prime; 46 is composite.C) 57 is prime; 21 and 46 are composite.D) All are composite.

8. List all the factors of 105.A) 1, 0, 5 B) 3, 5, 7C) 1, 3, 5, 7, 15, 21, 35, 105 D) 105, 210, 315, 420, 525, 630, . . .

9. Which number is prime?A) 6 B) 29 C) 81 D) 9

10. How many of these numbers are composite? 12, 20, 39, 41, 18, 30, 54A) 7 B) 6 C) 5 D) none


Yes or

No

Remediation

6 2 A Text: page 720 #37-48

7 1 D Text: page 720 #1-18

8 2 C Text: page 720 #19-36

9 1 B Text: page 720 #1-18

10 1 B Text: page 720 #1-18

Lesson #2: Prime and Composite Numbers Vocabulary **** Click on the Link to go to page 720: Textbook page 720 Prime and Composite Numbers

http://www.pearsonsuccessnet.com/snpapp/iText/products/0-13-068323-X/BookEM/PH_Alg1_EM_SH_7.pdf

6 Algebra 1 Unit 0

Level 1 Determine if a number is prime or composite. (Textbook page 720 #1-18)

1. prime or composite 2. prime or composite 3. prime or composite 4. prime or composite 5. prime or composite 6. prime or composite7. prime or composite 8. prime or composite 9. prime or composite10. prime or composite 11. prime or composite 12. prime or composite 13. prime or composite 14. prime or composite 15. prime or composite16. prime or composite 17. prime or composite 18. prime or composite

**** Click on the Link to go to page 720: Textbook page 720 Prime and Composite Numbers

Level 2 Find the prime factorization using factors (Textbook page 720 #19-48)

19. ___________________________________ 20. ___________________________________

21. ___________________________________ 22. ___________________________________

23. ___________________________________ 24. ___________________________________

25. ___________________________________ 26. ___________________________________

27. ___________________________________ 28. ___________________________________

29. ___________________________________ 30. ___________________________________

31. ___________________________________ 32. ___________________________________

33. ___________________________________ 34. ___________________________________

35. ___________________________________ 36. ___________________________________

37. ___________________________________ 38. ___________________________________

39. ___________________________________ 40. ___________________________________

41. ___________________________________ 42. ___________________________________

43. ___________________________________ 44. ___________________________________

45. ___________________________________ 46. ___________________________________

47. ___________________________________ 48. ___________________________________

**** Click on the Link to go to page 720: Textbook page 720 Prime and Composite Numbers



7 Algebra 1 Unit 0

Unit 0 Lesson 3 Greatest Common Factor and Least Common MultiplePre-Assessment Questions:Lesson #3: Greatest Common Factors (GCF) and Least Common Multiples (LCM)

11. Find the GCF of 15 and 27.A) 3 B) 12 C) 135 D) 405

12. Find the greatest common factor of 45 and 120.A) 5 B) 15 C) 360 D) 5,400

13. Find the LCM of 15 and 27.A) 3 B) 12 C) 135 D) 405

14. Find the least common multiple of 45 and 120.A) 5 B) 15 C) 360 D) 5,400

15. Two numbers whose GCF is 1 are called relatively prime. Which pair of numbers is relatively prime?

A) 42, 93 B) 64, 74 C) 105, 69 D) 27, 95


Yes or

No

Remediation

11 1 A Text: page 721 #1-12

12 1 B Text: page 721 #1-12

13 2 C Text: page 721 #13-24

14 2 C Text: page 721 #13-24

15 1 D Text: page 721 #1-12

Lesson #3: Finding the GCF and LCM Vocabulary**** Click on the Link to go to page 721: Textbook page 721 GCF and LCM

Relatively prime is numbers that have a GCF of 1.


8 Algebra 1 Unit 0

Level 1 Determine the GCF of a set of 2 or more numbers (Textbook page 721 #1-12)

**** Click on the Link to go to page 721: Textbook page 721 GCF and LCM

Level 2 Determine the LCM of a set of 2 or more numbers (Textbook page 721 #13-24)

**** Click on the Link to go to page 721: Textbook page 721 GCF and LCM

1. 2. 3.

4. 5. 6.

10.

7.

11. 12.

8. 9.

13. 14. 15.

16. 17. 18.

22.

19.

23. 24.

20. 21.



9 Algebra 1 Unit 0

Unit 0 Lesson 4 Rules for DivisibilityPre-Assessment Questions:Lesson #4: Rules for Divisibility

16. Find a four digit number that is divisible by 3, 5, and 8.A) 1140 B) 1208 C) 1560 D) 3710

17. Consider the numbers 2, 3, 4, 5, 6, 8, 9, and 10. By which numbers is 570 divisible?A) 10 B) 2, 5, 10 C) 2, 3, 5, 6, 10 D) 2, 3, 4, 5, 6, 8, 10

18. Which of these is the smallest number divisible by 2, 3, 4, 5, 6, 8, 9, and 10?A) 18 B) 180 C) 1,800 D) 18,000

19. The Liberty Bell in Philadelphia rang on July 8, 1776, to celebrate the first public reading of the Declaration of Independence. It was rung every year thereafter on the Fourth of July until 1835, when it cracked. The number of times the Liberty Bell was rung is NOT divisible by

A) 7 B) 4 C) 6 D) 320. Which of the numbers below are divisible by 5? 286, 260, 304, 124, 380, 420

A) 304, 124, 380, 420 B) 260, 380, 420C) 380, 286, 260, 420 D) 420, 286, 304, 260, 380


Yes or No

Remediation

16 1 C Text: page 722 #1-21

17 1 C Text: page 722 #1-21

18 1 C Text: page 722 #1-21

19 1 A Text: page 722 #1-21

20 1 B Text: page 722 #1-21

Lesson #4: Divisibility Rules **** Click on the Link to go to page 722: Textbook page 722 Divisibility Rules


10 Algebra 1 Unit 0

Level 1 Use the Divisibility Tests for 2, 3, 4, 5, 6, 8, 9 and 10. (Textbook page 722 #1-21)

**** Click on the Link to go to page 722: Textbook page 722 Divisibility RulesCircle all that are true

1. 2 3 4 5 6 8 9 10 2. 2 3 4 5 6 8 9 10 3. 2 3 4 5 6 8 9 10

4. 2 3 4 5 6 8 9 10 5. 2 3 4 5 6 8 9 10 6. 2 3 4 5 6 8 9 10

7. 2 3 4 5 6 8 9 10 8. 2 3 4 5 6 8 9 10 9. 2 3 4 5 6 8 9 10

10. 2 3 4 5 6 8 9 10 11. 2 3 4 5 6 8 9 10 12. 2 3 4 5 6 8 9 10

13. 2 3 4 5 6 8 9 10 14. 2 3 4 5 6 8 9 10 15. 2 3 4 5 6 8 9 10

16. 2 3 4 5 6 8 9 10 17. 2 3 4 5 6 8 9 10 18. 2 3 4 5 6 8 9 10

19. 20. 21.


11 Algebra 1 Unit 0

Unit 0 Lesson 5 Using EstimationPre-Assessment Questions:Lesson #5: Using Estimation

21. What is the best estimate of the sum of $14.30, $143.08, and $19.74?A) about $170.00 B) about $187.12 C) about $190.00 D) about $200.00

22. Seven friends share the cost of a gift. Each friend pays $4.45. The gift costs $37.50. Can the friends buy the gift? Use estimation to justify your answer.

A) Yes; round 7 to 10, $4.45 to $4, and $37.50 to $38. 10 • $4 = $40, and $40 > $38.B) Yes; round $4.45 to $5 and $37.50 to $35. 7 • $5 = $35, and $35 = $35.C) No; round $4.45 to $5 and $37.50 to $40. 7 • $5 = $35, and $35 < $40.D) No; round $4.45 to $4 and $37.50 to $38. 7 • $4 = $28, and $28 < $38.

23. Estimate 77.16 – 4.92.A) about 82 B) about 73 C) about 72.14 D) about 72

24. Round 0.928553 to the thousandths place.A) 0.93 B) 0.92855 C) 0.9286 D) 0.929

25. To what place has the following number been rounded? 273.94346 ≈ 273.943A) the hundreds place B) the hundredths placeC) the thousandths place D) the thousands place


Yes or No

Remediation

21 2 A Text: page 723 #1-4, 11 and 12

22 2 B Text: page 723 #1-4, 11 and 12

23 2 D Text: page 723 #1-4, 11 and 12

24 1 D Success Builder #14

25 1 C Success Builder #14

Lesson #5: Using Estimation Vocabulary **** Click on the Link to go to page 723: Textbook page 723 Using Estimation

Level 1 Use rounding to find a number to a specific place value. (Success Builder #14)

http://www.phschool.com/atschool/phmath/pdfs/puzzles/phsbm014.pdf


12 Algebra 1 Unit 0

Level 2 Using estimation to solve a problem. (Textbook page 723 #1-4, 11 and 12)

13 Algebra 1 Unit 0

**** Click on the Link to go to page 723: Textbook page 723 Using Estimation

Unit 0 Lesson 6 Simplifying FractionsPre-Assessment Questions:

1. 2. 3.

4. 5. 6.


14 Algebra 1 Unit 0

Lesson #6: Simplifying Fractions

26. Which fraction is equivalent to 78 ?

A)56 B)

1718 C) 2124 D) 4964

27. What is 3681 in simplest form?

A)3681 B)

1227 C)

49 D)

23

28. What fraction is in simplest form?

A)72132 B)

3666 C) 1833 D) 611

29. Which fraction is equivalent to 1012 ?

A) 72132 B)

56 C) 1833 D) 611

30. Complete the following statement 23= ?24

A) 12 B) 8 C) 16 D) 4


Yes or

No

Remediation

26 1 C Text: page 724 #1-16

27 2 C Text: page 724 #17-34

28 2 D Text: page 724 #17-34

29 1 B Text: page 724 #1-16

30 1 C Text: page 724 #1-16

Lesson #6: Simplifying Fractions Vocabulary**** Click on the Link to go to page 724: Textbook page 724 Simplifying Fractions


15 Algebra 1 Unit 0

Level 1 Identify equivalent fractions. (Textbook page 724 #1-16)

**** Click on the Link to go to page 724: Textbook page 724 Simplifying Fractions

Level 2 Write fractions in simplest form. (Textbook page 724 #17-34)

**** Click on the Link to go to page 724: Textbook page 724 Simplifying Fractions

1. 2. 3.

4. 5. 6.

7. 8. 9. 10. 11.

12. 13. 14. 15. 16.

17. 18. 19. 20. 21.

23. 24. 25. 26. 28.

22.

27.



16 Algebra 1 Unit 0

Unit 0 Lesson 7 Fractions and DecimalsPre-Assessment Questions:Lesson #7: Fractions and Decimals

31. Write 43 as a decimal.

A) 0.3 B) 1.33 C) 1.3 D) 4.332. Write 0.55 as a fraction in simplest form.

A) 0.55100 B) 55100 C)

1120 D)

12

33. Write 3.1818 as a fraction or mixed number in lowest terms.

A)211 B) 3

211 C) 3

9095000 D) 3

181810,000

34. All of these fractions are in simplest form EXCEPT

A)93100 B)

2273 C)

17120 D)

51153

35. Write 6072 in simplest form.

A)1518 B)

56 C)

3036 D)

67

Question # Leve

l

Answer Correct

Yes or

No

Remediation

31 1 C Text: page 725 #1-12

32 2 C Text: page 725 #13-15, 21, 23 and 24

33 3 B Text: page 725 #16-20 and 22

34 2 D Text: page 725 #13-15, 21, 23 and 24

35 2 B Text: page 725 #13-15, 21, 23 and 24

Level 1 Write a fraction as a decimal. (Textbook page 725 #1-12)

**** Click on the Link to go to page 725: Textbook page 725 Fractions and Decimals

31.29. 30. 32. 33. 34.


17 Algebra 1 Unit 0

Level 2 Write a decimal or percent as a fraction in simplest form. (Textbook page 725 #13-15, 21, 23 and 24)


Level 3 Write a repeating decimal as a fraction or mixed number in simplest form. (Textbook page 725 #16-20 and 22)


1. 2. 3. 4. 5. 6.

7. 8. 9. 10. 11. 12.

13. 14. 15. 21. 23. 24.

16. 17.

18. 19.

20.



18 Algebra 1 Unit 0

Unit 0 Lesson 8 Adding and Subtracting FractionsPre-Assessment Questions:Lesson #8: Adding and Subtracting Fractions

***Add or subtract each problem and then write the answer in simplest form.

36. 712

+ 1112

A) 112 B)

34 C) 1

23 D)

1812

37. 1518−318

A)23 B)

12 C)

1218 D) 1

38.56+ 34

A)810 B)

45 C)

1912 D)

812

39.98−23

A) 1 B) 75 C)

1124 D)

2716

40. 634+4 1112

A) 1123 B) 11

56 C) 12

56 D)

1812

Question # Leve

l

Answer Correct

Yes or No

Remediation

36 1 A Text: page 726 #1-4 and 16-20

37 1 A Text: page 726 #1-4 and 16-20



40 3 A Text: page 726 #5-15 and 21-30

19 Algebra 1 Unit 0

Level 1 Add or subtract fractions with like denominators. (Textbook page 726 #1-4 and16-20)

**** Click on the Link to go to page 726: Textbook page 726 Adding and Subtracting Fractions

1. 2. 3. 4.

16 17. 18. 19.

20.


20 Algebra 1 Unit 0

Level 2 Add or subtract fractions with unlike denominators. (Success Builder #17)

**** Click on the Link to go to Success Builder #17: Success Builder #17



21 Algebra 1 Unit 0

Level 3 Add or subtract mixed numbers. (Textbook page 726 #5-15 and 21-30)

**** Click on the Link to go to page 726: Textbook page 726 Adding and Subtracting Fractions


22 Algebra 1 Unit 0

5. 6. 7.

8.

11.

14.

27.25. 26.

30.29.28.

9.

12.

15.

23. 24.22.

21.

13.

10.

23 Algebra 1 Unit 0

Unit 0 Lesson 9 Multiplying and Dividing FractionsPre-Assessment Questions:Lesson #9: Multiplying and Dividing Fractions

***Multiply or divide each problem and then write the answer in simplest form.

41. 25 ÷18

A)120 B)

516 C) 3

15 D) 20

42. 59×310

A)16 B)

1590 C)

2750 D)

5027

43. 4 23 ×516

A) 956 B) 20

19 C) 23 D) 24

19

44.27÷(−321 )

A)249 B) 2 C) -2 D)

249

45.79×(−23 )

A)527 B)

1427 C)

−76 D)

−1427

Question # Leve

l

Answer Correct

Yes or No

Remediation

41 2 C Text: page 727 #16, 17, 21-23, 27 and 28

42 1 A Text: page 727 #1 and 2

43 3 D Text: page 727 #3-15, 18-20, 24-26, 29 and

30

44 2 C Text: page 727 #16, 17, 21-23, 27 and 28

24 Algebra 1 Unit 0

45 1 D Text: page 727 #1 and 2

Level 1 Multiply fractions. (Textbook page 727 #1 and 2)

**** Click on the Link to go to page 727: Textbook page 727 Multiplying and Dividing Fractions

Level 2 Divide fractions. (Textbook page 727 #16, 17, 21-23, 27 and 28)


1. 2.

16. 17.

21. 22.

23. 27.

28.



25 Algebra 1 Unit 0

Level 3 Multiply fractions. (Textbook page 727 #3-15, 18-20, 24-26, 29 and 30)


3. 4. 5.

6. 7. 8.

9. 10. 11.

12. 13.

15. 18

14.

19.

20. 24. 25.


26 Algebra 1 Unit 0

Unit 0 Lesson 10 Fractions, Decimals and PercentsPre-Assessment Questions:Lesson #10: Fractions, Decimals and Percents

46. Write 3.04 as a percent.A) 0.0304% B) 3.04% C) 30.4% D) 304%

47. Write 35 as a percent.

A)325% B) 3% C) 35% D) 60%

48. Write 47.2% as a fraction or mixed number in simplest form.

A) 47 15 B) 4

1825 C)

47.2100 D)

59125

49. The ratio 101 is equal to what percent?

A) 0.1% B) 1% C) 10% D) 1,000%50. Which number equals 0.42?

A) 4.2100 B)

4210 C) 42% D) 4.2%

Question # Leve

l

Answer Correct

Yes or No

Remediation

46 1 D Text: page 728 #1-6 and 13-24

47 2 D Text: page 728 #7-12

48 3 D Text: page 728 #25-42

49 2 D Text: page 728 #7-12

50 1 C Text: page 728 #1-6 and 13-24

Lesson #10: Fractions, Decimals and Percents Vocabulary**** Click on the Link to go to page 728: Textbook page 728 Fractions, Decimals and Percents

26. 29. 30.


27 Algebra 1 Unit 0

Level 1 Writing a decimal as a percent. (Textbook page 728 #1-6 and 13-24)

**** Click on the Link to go to page 728: Textbook page 728 Fractions, Decimals and Percents

Level 2 Writing a fraction as a percent. (Textbook page 728 #7-12)


Level 3 Writing a percent as a fraction or mixed number. (Textbook page 728 #25-42)


1. 2. 6.5.4.3.

19.

13. 14. 15. 16. 17. 18.

21.20. 22. 23. 24.

7. 8. 9. 10. 11. 12.




28 Algebra 1 Unit 0

Unit 0 Lesson 11 ExponentsPre-Assessment Questions:Lesson #11: Exponents

51. Write 3,624 in expanded form using exponents.A) 23 · 3 · 151B) 602+6×22

C) 3,000 + 600 + 20 + 4D) (3×103)+ (6×102 )+(2×101)+(4×100)

52. Write 2 · 2 · 2 · 7 · 2 · 2 using exponents.A) 224 B) 25 • 7C) 22 • 7 • 22 D) (2×103 )+(7×101 )+(2×102)

53. Write 62 · 33 in standard form.A) 6 • 6 • 3 • 3 • 3 B) 972 C) 324 D) 108

54. Write 7 × 7 × 7 × 7 as a power.A) (4)7 B) 75 C) 74 D) 7–4

55. Write 5 to the fourth power using exponents.A) 45 B) 9 C) 20 D) 54

Question # Level Answe

r

Correct

Yes or No

Remediation

51 3 A Text: Page 729 #12-16

52 1 B Text: Page 729 #1-6

53 2 B Text: Page 729 #7-11

54 1 C Text: Page 729 #1-6

55 2 D Text: Page 729 #7-11

25. 26. 27. 28. 30.29.

31. 32. 33. 34.

37. 38. 39. 40. 41. 42.

36.35.

29 Algebra 1 Unit 0

Lesson #11: Exponents Vocabulary

Level 1 Converting a number in standard form to exponential form. (Textbook page 729 #1-6)

**** Click on the Link to go to page 729: Textbook page 729 Exponents

Level 2 Converting a number in exponential form to standard form. (Textbook page 729 #7-11)


Level 3 Writing a number in expanded form with exponents. (Textbook page 729 #12-16)


1. 2. 3. 4. 5. 6.

7. 8. 9. 10. 11.

12. 13. 14. 15. 16.




30 Algebra 1 Unit 0

Unit 0 Lesson 12 Problem Solving SkillsPre-Assessment Questions:Lesson #12: Problem Solving Skills

56. Sixteen students from Lunch Table 1 line up in the Hot Lunch line. When given the signal, Students 1 through 7 enter the kitchen. As Student 1 leaves the kitchen, Students 8 and 9 enter it. As Student 2 leaves, Students 10 and 11 enter. If this process is repeated, when should the last student in line enter the kitchen?

A) When the fifth student leaves the kitchen.B) When the sixth student leaves the kitchen.C) When the fourth student leaves the kitchen.D) When the seventh student leaves the kitchen.

57. A boy has 3 pairs of trousers, 2 jackets, and 5 shirts. How many different combinations of trousers, jackets, and shirts can he put together?

A) 15 B) 10 C) 6 D) 3058. How many different rectangles are there with an area of 36 cm2 if the side lengths, in

centimeters, are integers?A) 5 B) 4 C) 3 D) 1

59. A ball is dropped from a height of 256 ft. With each bounce, the ball reaches a height that is half the height of the previous bounce. After which bounce will the ball rebound to a maximum height of 1 ft?

A) Bounce 9 B) Bounce 10 C) Bounce 8 D) Bounce 7

60. Your family car breaks down. A new battery costs $125, and other parts cost $217. The total cost to fix the car is $650. What is the cost for labor?

A) $342 B) $525 C) $308 D) $433


Yes or No

Remediation

56 1 A Text: page 714 #1-3

57 2 D Text: page 717 #1-8

58 3 A Text: page 715 #1-9

59 4 C Text: page 718 #1-6

60 5 C Text: page 719 #1-9

12. 13. 14. 15. 16.

31 Algebra 1 Unit 0

Level 1 Problem Solving: Draw a diagram. (Textbook page 714 #1-3)

**** Click on the Link to go to page 714: Textbook page 714 Problem Solving: Draw a Diagram

Level 2 Problem Solving: Solve a simpler problem. (Textbook page 717 #1-8)

**** Click on the Link to go to page 717: Textbook page 717 Problem Solving: Solve a simpler problem

1. 3.2.

1. 3.2.




32 Algebra 1 Unit 0

Level 3 Problem Solving: try, check and revise. (Textbook page 715 #1-9)

**** Click on the Link to go to page 715: Textbook page 715 Problem Solving: Try, Check and Revise

7.

6.4. 5.

8.

1. 3.2.



33 Algebra 1 Unit 0

Level 4 Problem Solving: Use logical reasoning. (Textbook page 718 #1-6)

**** Click on the Link to go to page 718: Textbook page 718 Problem Solving: Use logical reasoning

4. 5. 6.

7. 8. 9.

1. 2. 3.


34 Algebra 1 Unit 0

Level 5 Problem Solving: Work backward. (Textbook page 719 #1-9)

**** Click on the Link to go to page 719: Textbook page 719 Problem Solving: Work backward

6.5.4.

1. 2. 3.

6.5.4.


35 Algebra 1 Unit 0

7. 9.8.